Question

Find the range of the following function, do it step by step with the quadratic equation solved also​

Answer 1

Answer:

In other words, it is the set of y-values that you get when you plug all of ... want to know how to find the range of a function.

Answer 2

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(i) Given x>0

⇒3x>0

⇒−3x<0

⇒2−3x<2

⇒f(x)<2

∴ Range of f=(−∞,2)

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(ii) Since, for any real number x, x² ≥0

⇒x²+2≥0+2

⇒x²+2≥2

⇒f(x)≥2

∴ Range of f=[2,∞)

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(iii) f(x)=x,x is a real number

It is clear that the range of f is the set of all real numbers

∴ Range of f=R